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https://hdl.handle.net/2440/77936
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Type: | Journal article |
Title: | Backstepping control in vector form for stochastic Hamiltonian systems |
Author: | Wu, Z. Cu, M. Shi, P. |
Citation: | SIAM Journal on Control and Optimization, 2012; 50(2):925-942 |
Publisher: | Siam Publications |
Issue Date: | 2012 |
ISSN: | 0363-0129 1095-7138 |
Statement of Responsibility: | Zhaojing Wu, Mingyue Cui, and Peng Shi |
Abstract: | In this paper, the problem of adaptive tracking for a class of stochastic Hamiltonian control systems with unknown drift and diffusion functions is considered. Some difficulties come forth-the integral chain consists of vectors, and control and tracking errors are in different channels- which are rarely considered in the existing references about stochastic nonlinear controls. To resolve these problems, an adaptive backstepping controller in vector form is designed such that the closedloop system has a unique solution that is globally bounded in probability and the fourth moment of the tracking error converges to an arbitrarily small neighborhood of zero. As an application, the modeling and the control for spring pendulum in stochastic surroundings are researched. © 2012 Society for Industrial and Applied Mathematics. |
Keywords: | stochastic control Hamiltonian systems backstepping adaptive tracking |
Rights: | Copyright © 2012 Society for Industrial and Applied Mathematics |
DOI: | 10.1137/100817905 |
Published version: | http://dx.doi.org/10.1137/100817905 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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